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Finding the Fourth Proportional to 277,144.83, 382,563.86 and 181,657.67

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Solution

The fourth proportional to 277,144.83, 382,563.86 and 181,657.67 is: 250,755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,144.83 : 382,563.86 = 181,657.67 : x
  2. Step 2: Convert to fraction form
    277,144.83/382,563.86 = 181,657.67/x
  3. Step 3: Cross multiply
    277,144.83x = 382,563.86 × 181,657.67
  4. Step 4: Simplify right side
    277,144.83x = 69,495,656,612.70
  5. Step 5: Solve for x
    x = 69,495,656,612.70/277,144.83
  6. Step 6: Final answer
    x = 250,755.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.